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Finding the Fourth Proportional to 12,762.83, 19,148.13 and 6,527.22

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Solution

The fourth proportional to 12,762.83, 19,148.13 and 6,527.22 is: 9,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.83 : 19,148.13 = 6,527.22 : x
  2. Step 2: Convert to fraction form
    12,762.83/19,148.13 = 6,527.22/x
  3. Step 3: Cross multiply
    12,762.83x = 19,148.13 × 6,527.22
  4. Step 4: Simplify right side
    12,762.83x = 124,984,057.10
  5. Step 5: Solve for x
    x = 124,984,057.10/12,762.83
  6. Step 6: Final answer
    x = 9,792.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.